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Finding the Fourth Proportional to 180,673.78, 270,967.11 and 75,435.70

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Solution

The fourth proportional to 180,673.78, 270,967.11 and 75,435.70 is: 113,135.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,673.78 : 270,967.11 = 75,435.70 : x
  2. Step 2: Convert to fraction form
    180,673.78/270,967.11 = 75,435.70/x
  3. Step 3: Cross multiply
    180,673.78x = 270,967.11 × 75,435.70
  4. Step 4: Simplify right side
    180,673.78x = 20,440,593,619.83
  5. Step 5: Solve for x
    x = 20,440,593,619.83/180,673.78
  6. Step 6: Final answer
    x = 113,135.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.